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Cajun Stud

Introduction

Cajun Stud is a table game by that is the same as Mississippi Stud except with the side bets. In Cajun stud, a five-card player hand is revealed gradually. At three decision points along the way, the player may either raise his Ante bet by one to three times or fold.

Rules

Following are the rules for Cajun Stud.

The game uses any number of ordinary 52-card playing cards.

The Ante is the primary initial bet. In addition, the following side bets are available:

Board Bonus

Pocket Bonus

Lo Ball

After bets are made, the players will each be dealt two cards. In addition, three community cards will be dealt face down.

With the knowledge of two cards, the player may raise 1x to 3x his Ante bet or fold.

The dealer shall deal reveal the first community card.

With the knowledge of three cards, the player may again raise 1x to 3x his Ante bet or fold.

The dealer shall deal reveal the second community card.

With the knowledge of four cards, the player may again raise 1x to 3x his Ante bet or fold.

The dealer shall deal reveal the third community card.

All Ante and Raise bets shall be paid according to the pay table below.

The Board Bonus shall be paid based on the three community cards.

The Pocket Bonus shall be paid based on the player's two community cards.

The Lo Ball shall be paid based on the player's final five-card hand, with the object being a low-scoring hand.

Ante and Raise Pay Table

Event

Pays

Royal flush

500

Straight flush

100

Four of a kind

40

Full house

10

Flush

6

Straight

4

Three of a kind

3

Two pair

2

Pair: jacks to aces

1

Pair: 6's to 10's

Push

All other

Loss

Pocket Bonus Pay Table

Event

Pays

Pair of aces

25

Ace and face suited

20

Ace and face unsuited

10

Pair: 2's to K's

5

All other

Loss

Board Bonus Pay Table

Event

Pays

Royal flush

50

Straight flush

40

Three of a kind

30

Straight

6

Flush

3

Pair

1

All other

Loss

Lo Ball Pay Table

Event

Pays

7 high

100

8 high

50

9 high

15

10 high

5

J high

1

All other

Loss

Strategy

For purposes of strategy, I introduce the following terms:

High card = jack to ace

Medium card = 6 to 10

Small card = 2 to 5

Here is the strategy for the first decision point, which is as follows:

Make large raise with any pair.

Make medium raise with any of the following:

At least one high card

Two medium cards

5/6 suited

Fold with any of the following:

Two small cards

A small card and medium card, except 5-6 suited

You can find strategy for the second and third decision points in my page on Mississippi Stud.

Ante & Raise Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Ante and Raise bets. The lower right cell shows a house edge of 4.91% with optimal player strategy.

Ante and Raise Analysis

Final Hand

Bet

Win

Combinations

Probability

Return

Junk

4

-4

43,594,056

0.279561

-1.118244

Pair: 6's to 10's

4

0

5,078,808

0.032569

0.000000

Pair: J's to aces

4

4

5,396,544

0.034607

0.138428

Two pair

4

8

489,888

0.003142

0.025133

Three of a kind

4

12

163,296

0.001047

0.012566

Straight

4

16

216,288

0.001387

0.022192

Flush

4

24

0

0.000000

0.000000

Full house

4

40

0

0.000000

0.000000

Four of a kind

4

160

0

0.000000

0.000000

Straight flush

4

400

0

0.000000

0.000000

Royal flush

4

2000

0

0.000000

0.000000

Junk

6

-6

3,368,064

0.021599

-0.129593

Pair: 6's to 10's

6

0

4,795,632

0.030754

0.000000

Pair: J's to aces

6

6

5,075,616

0.032549

0.195294

Two pair

6

12

1,820,808

0.011677

0.140118

Three of a kind

6

18

641,256

0.004112

0.074021

Straight

6

24

137,376

0.000881

0.021143

Flush

6

36

185,808

0.001192

0.042896

Full house

6

60

14,040

0.000090

0.005402

Four of a kind

6

240

1,560

0.000010

0.002401

Straight flush

6

600

672

0.000004

0.002586

Royal flush

6

3000

0

0.000000

0.000000

Junk

8

-8

88,644

0.000568

-0.004548

Pair: 6's to 10's

8

0

3,459,060

0.022182

0.000000

Pair: J's to aces

8

8

4,124,256

0.026448

0.211585

Two pair

8

16

1,843,416

0.011821

0.189144

Three of a kind

8

24

851,544

0.005461

0.131059

Straight

8

32

7,968

0.000051

0.001635

Flush

8

48

22,440

0.000144

0.006907

Full house

8

80

96,984

0.000622

0.049755

Four of a kind

8

320

10,776

0.000069

0.022113

Straight flush

8

800

720

0.000005

0.003694

Royal flush

8

4000

240

0.000002

0.006156

Junk

10

-10

0

0.000000

0.000000

Pair: 6's to 10's

10

0

2,534,400

0.016253

0.000000

Pair: J's to aces

10

10

2,027,520

0.013002

0.130021

Two pair

10

20

1,026,432

0.006582

0.131647

Three of a kind

10

30

785,664

0.005038

0.151150

Straight

10

40

0

0.000000

0.000000

Flush

10

60

0

0.000000

0.000000

Full house

10

100

69,120

0.000443

0.044325

Four of a kind

10

400

20,160

0.000129

0.051713

Straight flush

10

1000

0

0.000000

0.000000

Royal flush

10

5000

0

0.000000

0.000000

Fold

1

-1

48451200

0.310709

-0.310709

Fold

2

-2

11,966,976

0.076742

-0.153484

Fold

3

-3

7,569,216

0.048540

-0.145620

Fold

4

-4

0

0.000000

0.000000

Fold

5

-5

1,152

0.000007

-0.000037

Fold

6

-6

0

0.000000

0.000000

Fold

7

-7

0

0.000000

0.000000

Total

155,937,600

1.000000

-0.049149

By the end of the hand, the average wager will be 3.589772 times the Ante bonus. That makes the Element of Risk, defined as the ratio of the expected loss to the total amount bet, 4.9149%/3.589772 = 1.37%.

Pocket Bonus Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Pocket Bonus. The lower right cell shows a house edge of 6.79% with optimal player strategy.

Pocket Bonus Analysis

Event

Pays

Combinations

Probability

Return

Pair of aces

25

6

0.004525

0.113122

Ace and face suited

20

12

0.009050

0.180995

Ace and face unsuited

10

36

0.027149

0.271493

Pair: 2's to K's

5

72

0.054299

0.271493

All other

-1

1,200

0.904977

-0.904977

Total

1,326

1.000000

-0.067873

Lo Ball Analysis

The following table shows the probability and contribution to the return for all possible outcomes of the Pocket Bonus. The lower right cell shows a house edge of 6.79% with optimal player strategy.